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Finding the Fourth Proportional to 800.48, 1,104.72 and 451.19

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Solution

The fourth proportional to 800.48, 1,104.72 and 451.19 is: 622.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.48 : 1,104.72 = 451.19 : x
  2. Step 2: Convert to fraction form
    800.48/1,104.72 = 451.19/x
  3. Step 3: Cross multiply
    800.48x = 1,104.72 × 451.19
  4. Step 4: Simplify right side
    800.48x = 498,439.69
  5. Step 5: Solve for x
    x = 498,439.69/800.48
  6. Step 6: Final answer
    x = 622.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.